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Finding the Fourth Proportional to 77,793.66, 116,664.51 and 30,396.41

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Solution

The fourth proportional to 77,793.66, 116,664.51 and 30,396.41 is: 45,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793.66 : 116,664.51 = 30,396.41 : x
  2. Step 2: Convert to fraction form
    77,793.66/116,664.51 = 30,396.41/x
  3. Step 3: Cross multiply
    77,793.66x = 116,664.51 × 30,396.41
  4. Step 4: Simplify right side
    77,793.66x = 3,546,181,695.09
  5. Step 5: Solve for x
    x = 3,546,181,695.09/77,793.66
  6. Step 6: Final answer
    x = 45,584.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.